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Finding the Fourth Proportional to 3,068.26, 4,601.94 and 987.99

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Solution

The fourth proportional to 3,068.26, 4,601.94 and 987.99 is: 1,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.26 : 4,601.94 = 987.99 : x
  2. Step 2: Convert to fraction form
    3,068.26/4,601.94 = 987.99/x
  3. Step 3: Cross multiply
    3,068.26x = 4,601.94 × 987.99
  4. Step 4: Simplify right side
    3,068.26x = 4,546,670.70
  5. Step 5: Solve for x
    x = 4,546,670.70/3,068.26
  6. Step 6: Final answer
    x = 1,481.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.